The Small Business Administration (SBA) is a governmentrun organization that oversees the microloan program for small businesses.
Question:
The Small Business Administration (SBA) is a governmentrun organization that oversees the microloan program for small businesses. Microloans are small, short-term loans that are less than $25,000 with less than a six-year term.
Due to tougher credit guidelines, the SBA is concerned that microloan amounts have been declining. To investigate this, suppose the SBA collected a random sample of microloans from 2006 and a random sample from 2013. The loan amounts are as follows, in thousands of dollars. These data can also be found in the Excel file microloan.xlsx.
2006 ($) 2013 ($) 11.6 16.6 5.2 12.1 18.5 13.7 15.5 9.0 22.1 18.0 10.9 13.1 19.3 14.5 8.0 7.2 8.5 16.5 10.1 8.4 18.7 7.5 14.1 7.4 12.0 Using a = 0.05, perform a hypothesis test to determine if the median microloan amount in 2013 was less than the median microloan amount in 2006.
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